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Finding the Fourth Proportional to 292.15, 435.84 and 284.21

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Solution

The fourth proportional to 292.15, 435.84 and 284.21 is: 423.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.15 : 435.84 = 284.21 : x
  2. Step 2: Convert to fraction form
    292.15/435.84 = 284.21/x
  3. Step 3: Cross multiply
    292.15x = 435.84 × 284.21
  4. Step 4: Simplify right side
    292.15x = 123,867.91
  5. Step 5: Solve for x
    x = 123,867.91/292.15
  6. Step 6: Final answer
    x = 423.99

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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.