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Finding the Fourth Proportional to 342.80, 469.52 and 322.85

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Solution

The fourth proportional to 342.80, 469.52 and 322.85 is: 442.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.80 : 469.52 = 322.85 : x
  2. Step 2: Convert to fraction form
    342.80/469.52 = 322.85/x
  3. Step 3: Cross multiply
    342.80x = 469.52 × 322.85
  4. Step 4: Simplify right side
    342.80x = 151,584.53
  5. Step 5: Solve for x
    x = 151,584.53/342.80
  6. Step 6: Final answer
    x = 442.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.