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Finding the Fourth Proportional to 145.13, 216.47 and 131.49

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Solution

The fourth proportional to 145.13, 216.47 and 131.49 is: 196.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.13 : 216.47 = 131.49 : x
  2. Step 2: Convert to fraction form
    145.13/216.47 = 131.49/x
  3. Step 3: Cross multiply
    145.13x = 216.47 × 131.49
  4. Step 4: Simplify right side
    145.13x = 28,463.97
  5. Step 5: Solve for x
    x = 28,463.97/145.13
  6. Step 6: Final answer
    x = 196.13

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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.