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Finding the Fourth Proportional to 250.54, 345.77 and 175.86

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Solution

The fourth proportional to 250.54, 345.77 and 175.86 is: 242.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.54 : 345.77 = 175.86 : x
  2. Step 2: Convert to fraction form
    250.54/345.77 = 175.86/x
  3. Step 3: Cross multiply
    250.54x = 345.77 × 175.86
  4. Step 4: Simplify right side
    250.54x = 60,807.11
  5. Step 5: Solve for x
    x = 60,807.11/250.54
  6. Step 6: Final answer
    x = 242.70

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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.