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Finding the Fourth Proportional to 423.14, 583.80 and 292.19

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Solution

The fourth proportional to 423.14, 583.80 and 292.19 is: 403.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.14 : 583.80 = 292.19 : x
  2. Step 2: Convert to fraction form
    423.14/583.80 = 292.19/x
  3. Step 3: Cross multiply
    423.14x = 583.80 × 292.19
  4. Step 4: Simplify right side
    423.14x = 170,577.60
  5. Step 5: Solve for x
    x = 170,577.60/423.14
  6. Step 6: Final answer
    x = 403.13

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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.