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Finding the Fourth Proportional to 145.14, 216.80 and 121.02

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Solution

The fourth proportional to 145.14, 216.80 and 121.02 is: 180.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.14 : 216.80 = 121.02 : x
  2. Step 2: Convert to fraction form
    145.14/216.80 = 121.02/x
  3. Step 3: Cross multiply
    145.14x = 216.80 × 121.02
  4. Step 4: Simplify right side
    145.14x = 26,236.53
  5. Step 5: Solve for x
    x = 26,236.53/145.14
  6. Step 6: Final answer
    x = 180.77

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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.