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Finding the Fourth Proportional to 292.01, 440.24 and 288.36

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Solution

The fourth proportional to 292.01, 440.24 and 288.36 is: 434.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.01 : 440.24 = 288.36 : x
  2. Step 2: Convert to fraction form
    292.01/440.24 = 288.36/x
  3. Step 3: Cross multiply
    292.01x = 440.24 × 288.36
  4. Step 4: Simplify right side
    292.01x = 126,946.16
  5. Step 5: Solve for x
    x = 126,946.16/292.01
  6. Step 6: Final answer
    x = 434.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.