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Finding the Fourth Proportional to 360.91, 497.50 and 346.33

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Solution

The fourth proportional to 360.91, 497.50 and 346.33 is: 477.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.91 : 497.50 = 346.33 : x
  2. Step 2: Convert to fraction form
    360.91/497.50 = 346.33/x
  3. Step 3: Cross multiply
    360.91x = 497.50 × 346.33
  4. Step 4: Simplify right side
    360.91x = 172,299.18
  5. Step 5: Solve for x
    x = 172,299.18/360.91
  6. Step 6: Final answer
    x = 477.40

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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.