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Finding the Fourth Proportional to 402.32, 555.47 and 253.01

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Solution

The fourth proportional to 402.32, 555.47 and 253.01 is: 349.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.32 : 555.47 = 253.01 : x
  2. Step 2: Convert to fraction form
    402.32/555.47 = 253.01/x
  3. Step 3: Cross multiply
    402.32x = 555.47 × 253.01
  4. Step 4: Simplify right side
    402.32x = 140,539.46
  5. Step 5: Solve for x
    x = 140,539.46/402.32
  6. Step 6: Final answer
    x = 349.32

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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.