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Finding the Fourth Proportional to 177.13, 242.91 and 175.10

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Solution

The fourth proportional to 177.13, 242.91 and 175.10 is: 240.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.13 : 242.91 = 175.10 : x
  2. Step 2: Convert to fraction form
    177.13/242.91 = 175.10/x
  3. Step 3: Cross multiply
    177.13x = 242.91 × 175.10
  4. Step 4: Simplify right side
    177.13x = 42,533.54
  5. Step 5: Solve for x
    x = 42,533.54/177.13
  6. Step 6: Final answer
    x = 240.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.