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Finding the Fourth Proportional to 501.69, 752.39 and 193.49

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Solution

The fourth proportional to 501.69, 752.39 and 193.49 is: 290.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.69 : 752.39 = 193.49 : x
  2. Step 2: Convert to fraction form
    501.69/752.39 = 193.49/x
  3. Step 3: Cross multiply
    501.69x = 752.39 × 193.49
  4. Step 4: Simplify right side
    501.69x = 145,578.76
  5. Step 5: Solve for x
    x = 145,578.76/501.69
  6. Step 6: Final answer
    x = 290.17

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.