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Finding the Fourth Proportional to 416.19, 574.47 and 285.24

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Solution

The fourth proportional to 416.19, 574.47 and 285.24 is: 393.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.19 : 574.47 = 285.24 : x
  2. Step 2: Convert to fraction form
    416.19/574.47 = 285.24/x
  3. Step 3: Cross multiply
    416.19x = 574.47 × 285.24
  4. Step 4: Simplify right side
    416.19x = 163,861.82
  5. Step 5: Solve for x
    x = 163,861.82/416.19
  6. Step 6: Final answer
    x = 393.72

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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.