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Finding the Fourth Proportional to 257.80, 355.71 and 152.86

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Solution

The fourth proportional to 257.80, 355.71 and 152.86 is: 210.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.80 : 355.71 = 152.86 : x
  2. Step 2: Convert to fraction form
    257.80/355.71 = 152.86/x
  3. Step 3: Cross multiply
    257.80x = 355.71 × 152.86
  4. Step 4: Simplify right side
    257.80x = 54,373.83
  5. Step 5: Solve for x
    x = 54,373.83/257.80
  6. Step 6: Final answer
    x = 210.91

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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.