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Finding the Fourth Proportional to 337.58, 508.21 and 242.06

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Solution

The fourth proportional to 337.58, 508.21 and 242.06 is: 364.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.58 : 508.21 = 242.06 : x
  2. Step 2: Convert to fraction form
    337.58/508.21 = 242.06/x
  3. Step 3: Cross multiply
    337.58x = 508.21 × 242.06
  4. Step 4: Simplify right side
    337.58x = 123,016.10
  5. Step 5: Solve for x
    x = 123,016.10/337.58
  6. Step 6: Final answer
    x = 364.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.