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Finding the Fourth Proportional to 45.48, 67.80 and 43.02

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Solution

The fourth proportional to 45.48, 67.80 and 43.02 is: 64.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.48 : 67.80 = 43.02 : x
  2. Step 2: Convert to fraction form
    45.48/67.80 = 43.02/x
  3. Step 3: Cross multiply
    45.48x = 67.80 × 43.02
  4. Step 4: Simplify right side
    45.48x = 2,916.76
  5. Step 5: Solve for x
    x = 2,916.76/45.48
  6. Step 6: Final answer
    x = 64.13

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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.