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Finding the Fourth Proportional to 145.13, 217.73 and 64.01

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Solution

The fourth proportional to 145.13, 217.73 and 64.01 is: 96.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.13 : 217.73 = 64.01 : x
  2. Step 2: Convert to fraction form
    145.13/217.73 = 64.01/x
  3. Step 3: Cross multiply
    145.13x = 217.73 × 64.01
  4. Step 4: Simplify right side
    145.13x = 13,937.60
  5. Step 5: Solve for x
    x = 13,937.60/145.13
  6. Step 6: Final answer
    x = 96.04

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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.