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Finding the Fourth Proportional to 282.51, 423.77 and 77.10

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Solution

The fourth proportional to 282.51, 423.77 and 77.10 is: 115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.51 : 423.77 = 77.10 : x
  2. Step 2: Convert to fraction form
    282.51/423.77 = 77.10/x
  3. Step 3: Cross multiply
    282.51x = 423.77 × 77.10
  4. Step 4: Simplify right side
    282.51x = 32,672.67
  5. Step 5: Solve for x
    x = 32,672.67/282.51
  6. Step 6: Final answer
    x = 115.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.