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Finding the Fourth Proportional to 531.56, 797.40 and 257.42

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Solution

The fourth proportional to 531.56, 797.40 and 257.42 is: 386.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.56 : 797.40 = 257.42 : x
  2. Step 2: Convert to fraction form
    531.56/797.40 = 257.42/x
  3. Step 3: Cross multiply
    531.56x = 797.40 × 257.42
  4. Step 4: Simplify right side
    531.56x = 205,266.71
  5. Step 5: Solve for x
    x = 205,266.71/531.56
  6. Step 6: Final answer
    x = 386.16

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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.