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Finding the Fourth Proportional to 145.61, 217.95 and 106.48

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Solution

The fourth proportional to 145.61, 217.95 and 106.48 is: 159.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.61 : 217.95 = 106.48 : x
  2. Step 2: Convert to fraction form
    145.61/217.95 = 106.48/x
  3. Step 3: Cross multiply
    145.61x = 217.95 × 106.48
  4. Step 4: Simplify right side
    145.61x = 23,206.77
  5. Step 5: Solve for x
    x = 23,206.77/145.61
  6. Step 6: Final answer
    x = 159.38

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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.