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Finding the Fourth Proportional to 292.10, 435.54 and 281.56

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Solution

The fourth proportional to 292.10, 435.54 and 281.56 is: 419.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.10 : 435.54 = 281.56 : x
  2. Step 2: Convert to fraction form
    292.10/435.54 = 281.56/x
  3. Step 3: Cross multiply
    292.10x = 435.54 × 281.56
  4. Step 4: Simplify right side
    292.10x = 122,630.64
  5. Step 5: Solve for x
    x = 122,630.64/292.10
  6. Step 6: Final answer
    x = 419.82

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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.