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Finding the Fourth Proportional to 147.04, 217.55 and 146.64

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Solution

The fourth proportional to 147.04, 217.55 and 146.64 is: 216.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.04 : 217.55 = 146.64 : x
  2. Step 2: Convert to fraction form
    147.04/217.55 = 146.64/x
  3. Step 3: Cross multiply
    147.04x = 217.55 × 146.64
  4. Step 4: Simplify right side
    147.04x = 31,901.53
  5. Step 5: Solve for x
    x = 31,901.53/147.04
  6. Step 6: Final answer
    x = 216.96

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.