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Finding the Fourth Proportional to 145.90, 217.40 and 139.36

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Solution

The fourth proportional to 145.90, 217.40 and 139.36 is: 207.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.90 : 217.40 = 139.36 : x
  2. Step 2: Convert to fraction form
    145.90/217.40 = 139.36/x
  3. Step 3: Cross multiply
    145.90x = 217.40 × 139.36
  4. Step 4: Simplify right side
    145.90x = 30,296.86
  5. Step 5: Solve for x
    x = 30,296.86/145.90
  6. Step 6: Final answer
    x = 207.65

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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.