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Finding the Fourth Proportional to 145.46, 219.10 and 118.74

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Solution

The fourth proportional to 145.46, 219.10 and 118.74 is: 178.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.46 : 219.10 = 118.74 : x
  2. Step 2: Convert to fraction form
    145.46/219.10 = 118.74/x
  3. Step 3: Cross multiply
    145.46x = 219.10 × 118.74
  4. Step 4: Simplify right side
    145.46x = 26,015.93
  5. Step 5: Solve for x
    x = 26,015.93/145.46
  6. Step 6: Final answer
    x = 178.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.