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Finding the Fourth Proportional to 292.13, 435.62 and 285.14

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Solution

The fourth proportional to 292.13, 435.62 and 285.14 is: 425.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.13 : 435.62 = 285.14 : x
  2. Step 2: Convert to fraction form
    292.13/435.62 = 285.14/x
  3. Step 3: Cross multiply
    292.13x = 435.62 × 285.14
  4. Step 4: Simplify right side
    292.13x = 124,209.08
  5. Step 5: Solve for x
    x = 124,209.08/292.13
  6. Step 6: Final answer
    x = 425.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.