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Finding the Fourth Proportional to 360.18, 494.03 and 357.10

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Solution

The fourth proportional to 360.18, 494.03 and 357.10 is: 489.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.18 : 494.03 = 357.10 : x
  2. Step 2: Convert to fraction form
    360.18/494.03 = 357.10/x
  3. Step 3: Cross multiply
    360.18x = 494.03 × 357.10
  4. Step 4: Simplify right side
    360.18x = 176,417.77
  5. Step 5: Solve for x
    x = 176,417.77/360.18
  6. Step 6: Final answer
    x = 489.80

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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.