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Finding the Fourth Proportional to 145.66, 217.01 and 139.45

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Solution

The fourth proportional to 145.66, 217.01 and 139.45 is: 207.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.66 : 217.01 = 139.45 : x
  2. Step 2: Convert to fraction form
    145.66/217.01 = 139.45/x
  3. Step 3: Cross multiply
    145.66x = 217.01 × 139.45
  4. Step 4: Simplify right side
    145.66x = 30,262.04
  5. Step 5: Solve for x
    x = 30,262.04/145.66
  6. Step 6: Final answer
    x = 207.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.