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Finding the Fourth Proportional to 257.31, 355.08 and 152.40

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Solution

The fourth proportional to 257.31, 355.08 and 152.40 is: 210.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.31 : 355.08 = 152.40 : x
  2. Step 2: Convert to fraction form
    257.31/355.08 = 152.40/x
  3. Step 3: Cross multiply
    257.31x = 355.08 × 152.40
  4. Step 4: Simplify right side
    257.31x = 54,114.19
  5. Step 5: Solve for x
    x = 54,114.19/257.31
  6. Step 6: Final answer
    x = 210.31

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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.