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Finding the Fourth Proportional to 416.93, 575.06 and 292.55

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Solution

The fourth proportional to 416.93, 575.06 and 292.55 is: 403.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.93 : 575.06 = 292.55 : x
  2. Step 2: Convert to fraction form
    416.93/575.06 = 292.55/x
  3. Step 3: Cross multiply
    416.93x = 575.06 × 292.55
  4. Step 4: Simplify right side
    416.93x = 168,229.46
  5. Step 5: Solve for x
    x = 168,229.46/416.93
  6. Step 6: Final answer
    x = 403.50

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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.