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Finding the Fourth Proportional to 501.48, 752.34 and 209.04

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Solution

The fourth proportional to 501.48, 752.34 and 209.04 is: 313.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.48 : 752.34 = 209.04 : x
  2. Step 2: Convert to fraction form
    501.48/752.34 = 209.04/x
  3. Step 3: Cross multiply
    501.48x = 752.34 × 209.04
  4. Step 4: Simplify right side
    501.48x = 157,265.39
  5. Step 5: Solve for x
    x = 157,265.39/501.48
  6. Step 6: Final answer
    x = 313.60

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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.