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Finding the Fourth Proportional to 249.07, 373.59 and 78.07

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Solution

The fourth proportional to 249.07, 373.59 and 78.07 is: 117.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.07 : 373.59 = 78.07 : x
  2. Step 2: Convert to fraction form
    249.07/373.59 = 78.07/x
  3. Step 3: Cross multiply
    249.07x = 373.59 × 78.07
  4. Step 4: Simplify right side
    249.07x = 29,166.17
  5. Step 5: Solve for x
    x = 29,166.17/249.07
  6. Step 6: Final answer
    x = 117.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.