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Finding the Fourth Proportional to 423.42, 583.59 and 292.26

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Solution

The fourth proportional to 423.42, 583.59 and 292.26 is: 402.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.42 : 583.59 = 292.26 : x
  2. Step 2: Convert to fraction form
    423.42/583.59 = 292.26/x
  3. Step 3: Cross multiply
    423.42x = 583.59 × 292.26
  4. Step 4: Simplify right side
    423.42x = 170,560.01
  5. Step 5: Solve for x
    x = 170,560.01/423.42
  6. Step 6: Final answer
    x = 402.82

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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.