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Finding the Fourth Proportional to 402.55, 554.98 and 319.93

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Solution

The fourth proportional to 402.55, 554.98 and 319.93 is: 441.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.55 : 554.98 = 319.93 : x
  2. Step 2: Convert to fraction form
    402.55/554.98 = 319.93/x
  3. Step 3: Cross multiply
    402.55x = 554.98 × 319.93
  4. Step 4: Simplify right side
    402.55x = 177,550.38
  5. Step 5: Solve for x
    x = 177,550.38/402.55
  6. Step 6: Final answer
    x = 441.07

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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.