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Finding the Fourth Proportional to 501.40, 752.70 and 282.20

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Solution

The fourth proportional to 501.40, 752.70 and 282.20 is: 423.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.40 : 752.70 = 282.20 : x
  2. Step 2: Convert to fraction form
    501.40/752.70 = 282.20/x
  3. Step 3: Cross multiply
    501.40x = 752.70 × 282.20
  4. Step 4: Simplify right side
    501.40x = 212,411.94
  5. Step 5: Solve for x
    x = 212,411.94/501.40
  6. Step 6: Final answer
    x = 423.64

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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.