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Finding the Fourth Proportional to 292.12, 435.60 and 277.76

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Solution

The fourth proportional to 292.12, 435.60 and 277.76 is: 414.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.12 : 435.60 = 277.76 : x
  2. Step 2: Convert to fraction form
    292.12/435.60 = 277.76/x
  3. Step 3: Cross multiply
    292.12x = 435.60 × 277.76
  4. Step 4: Simplify right side
    292.12x = 120,990.87
  5. Step 5: Solve for x
    x = 120,990.87/292.12
  6. Step 6: Final answer
    x = 414.19

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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.