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Finding the Fourth Proportional to 145.32, 216.85 and 143.08

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Solution

The fourth proportional to 145.32, 216.85 and 143.08 is: 213.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.32 : 216.85 = 143.08 : x
  2. Step 2: Convert to fraction form
    145.32/216.85 = 143.08/x
  3. Step 3: Cross multiply
    145.32x = 216.85 × 143.08
  4. Step 4: Simplify right side
    145.32x = 31,026.90
  5. Step 5: Solve for x
    x = 31,026.90/145.32
  6. Step 6: Final answer
    x = 213.51

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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.