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Finding the Fourth Proportional to 489.42, 675.18 and 342.13

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Solution

The fourth proportional to 489.42, 675.18 and 342.13 is: 471.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.42 : 675.18 = 342.13 : x
  2. Step 2: Convert to fraction form
    489.42/675.18 = 342.13/x
  3. Step 3: Cross multiply
    489.42x = 675.18 × 342.13
  4. Step 4: Simplify right side
    489.42x = 230,999.33
  5. Step 5: Solve for x
    x = 230,999.33/489.42
  6. Step 6: Final answer
    x = 471.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.