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Finding the Fourth Proportional to 292.74, 437.34 and 286.26

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Solution

The fourth proportional to 292.74, 437.34 and 286.26 is: 427.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.74 : 437.34 = 286.26 : x
  2. Step 2: Convert to fraction form
    292.74/437.34 = 286.26/x
  3. Step 3: Cross multiply
    292.74x = 437.34 × 286.26
  4. Step 4: Simplify right side
    292.74x = 125,192.95
  5. Step 5: Solve for x
    x = 125,192.95/292.74
  6. Step 6: Final answer
    x = 427.66

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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.