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Finding the Fourth Proportional to 154.13, 230.00 and 141.93

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Solution

The fourth proportional to 154.13, 230.00 and 141.93 is: 211.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.13 : 230.00 = 141.93 : x
  2. Step 2: Convert to fraction form
    154.13/230.00 = 141.93/x
  3. Step 3: Cross multiply
    154.13x = 230.00 × 141.93
  4. Step 4: Simplify right side
    154.13x = 32,643.19
  5. Step 5: Solve for x
    x = 32,643.19/154.13
  6. Step 6: Final answer
    x = 211.80

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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.