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Finding the Fourth Proportional to 353.16, 531.75 and 257.64

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Solution

The fourth proportional to 353.16, 531.75 and 257.64 is: 387.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.16 : 531.75 = 257.64 : x
  2. Step 2: Convert to fraction form
    353.16/531.75 = 257.64/x
  3. Step 3: Cross multiply
    353.16x = 531.75 × 257.64
  4. Step 4: Simplify right side
    353.16x = 137,000.07
  5. Step 5: Solve for x
    x = 137,000.07/353.16
  6. Step 6: Final answer
    x = 387.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.