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Finding the Fourth Proportional to 178.09, 245.76 and 99.40

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Solution

The fourth proportional to 178.09, 245.76 and 99.40 is: 137.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.09 : 245.76 = 99.40 : x
  2. Step 2: Convert to fraction form
    178.09/245.76 = 99.40/x
  3. Step 3: Cross multiply
    178.09x = 245.76 × 99.40
  4. Step 4: Simplify right side
    178.09x = 24,428.91
  5. Step 5: Solve for x
    x = 24,428.91/178.09
  6. Step 6: Final answer
    x = 137.17

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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.