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Finding the Fourth Proportional to 52.90, 79.49 and 45.30

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Solution

The fourth proportional to 52.90, 79.49 and 45.30 is: 68.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.90 : 79.49 = 45.30 : x
  2. Step 2: Convert to fraction form
    52.90/79.49 = 45.30/x
  3. Step 3: Cross multiply
    52.90x = 79.49 × 45.30
  4. Step 4: Simplify right side
    52.90x = 3,601.01
  5. Step 5: Solve for x
    x = 3,601.01/52.90
  6. Step 6: Final answer
    x = 68.08

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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.