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Finding the Fourth Proportional to 145.02, 216.16 and 134.08

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Solution

The fourth proportional to 145.02, 216.16 and 134.08 is: 199.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.02 : 216.16 = 134.08 : x
  2. Step 2: Convert to fraction form
    145.02/216.16 = 134.08/x
  3. Step 3: Cross multiply
    145.02x = 216.16 × 134.08
  4. Step 4: Simplify right side
    145.02x = 28,982.73
  5. Step 5: Solve for x
    x = 28,982.73/145.02
  6. Step 6: Final answer
    x = 199.85

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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.