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Finding the Fourth Proportional to 292.62, 436.58 and 278.86

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Solution

The fourth proportional to 292.62, 436.58 and 278.86 is: 416.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.62 : 436.58 = 278.86 : x
  2. Step 2: Convert to fraction form
    292.62/436.58 = 278.86/x
  3. Step 3: Cross multiply
    292.62x = 436.58 × 278.86
  4. Step 4: Simplify right side
    292.62x = 121,743.30
  5. Step 5: Solve for x
    x = 121,743.30/292.62
  6. Step 6: Final answer
    x = 416.05

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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.