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Finding the Fourth Proportional to 145.38, 217.98 and 64.14

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Solution

The fourth proportional to 145.38, 217.98 and 64.14 is: 96.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.38 : 217.98 = 64.14 : x
  2. Step 2: Convert to fraction form
    145.38/217.98 = 64.14/x
  3. Step 3: Cross multiply
    145.38x = 217.98 × 64.14
  4. Step 4: Simplify right side
    145.38x = 13,981.24
  5. Step 5: Solve for x
    x = 13,981.24/145.38
  6. Step 6: Final answer
    x = 96.17

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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.