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Finding the Fourth Proportional to 487.76, 731.57 and 290.22

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Solution

The fourth proportional to 487.76, 731.57 and 290.22 is: 435.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.76 : 731.57 = 290.22 : x
  2. Step 2: Convert to fraction form
    487.76/731.57 = 290.22/x
  3. Step 3: Cross multiply
    487.76x = 731.57 × 290.22
  4. Step 4: Simplify right side
    487.76x = 212,312.59
  5. Step 5: Solve for x
    x = 212,312.59/487.76
  6. Step 6: Final answer
    x = 435.28

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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.