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Finding the Fourth Proportional to 118.98, 178.58 and 64.18

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Solution

The fourth proportional to 118.98, 178.58 and 64.18 is: 96.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.98 : 178.58 = 64.18 : x
  2. Step 2: Convert to fraction form
    118.98/178.58 = 64.18/x
  3. Step 3: Cross multiply
    118.98x = 178.58 × 64.18
  4. Step 4: Simplify right side
    118.98x = 11,461.71
  5. Step 5: Solve for x
    x = 11,461.71/118.98
  6. Step 6: Final answer
    x = 96.33

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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.