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Finding the Fourth Proportional to 240.15, 357 and 232.86

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Solution

The fourth proportional to 240.15, 357 and 232.86 is: 346.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.15 : 357 = 232.86 : x
  2. Step 2: Convert to fraction form
    240.15/357 = 232.86/x
  3. Step 3: Cross multiply
    240.15x = 357 × 232.86
  4. Step 4: Simplify right side
    240.15x = 83,131.02
  5. Step 5: Solve for x
    x = 83,131.02/240.15
  6. Step 6: Final answer
    x = 346.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.