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Finding the Fourth Proportional to 145.86, 217.50 and 135.93

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Solution

The fourth proportional to 145.86, 217.50 and 135.93 is: 202.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.86 : 217.50 = 135.93 : x
  2. Step 2: Convert to fraction form
    145.86/217.50 = 135.93/x
  3. Step 3: Cross multiply
    145.86x = 217.50 × 135.93
  4. Step 4: Simplify right side
    145.86x = 29,564.78
  5. Step 5: Solve for x
    x = 29,564.78/145.86
  6. Step 6: Final answer
    x = 202.69

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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.