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Finding the Fourth Proportional to 145.13, 216.13 and 142.13

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Solution

The fourth proportional to 145.13, 216.13 and 142.13 is: 211.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.13 : 216.13 = 142.13 : x
  2. Step 2: Convert to fraction form
    145.13/216.13 = 142.13/x
  3. Step 3: Cross multiply
    145.13x = 216.13 × 142.13
  4. Step 4: Simplify right side
    145.13x = 30,718.56
  5. Step 5: Solve for x
    x = 30,718.56/145.13
  6. Step 6: Final answer
    x = 211.66

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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.