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Finding the Fourth Proportional to 402.87, 555.71 and 253.50

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Solution

The fourth proportional to 402.87, 555.71 and 253.50 is: 349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.87 : 555.71 = 253.50 : x
  2. Step 2: Convert to fraction form
    402.87/555.71 = 253.50/x
  3. Step 3: Cross multiply
    402.87x = 555.71 × 253.50
  4. Step 4: Simplify right side
    402.87x = 140,875.25
  5. Step 5: Solve for x
    x = 140,875.25/402.87
  6. Step 6: Final answer
    x = 349.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.