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Finding the Fourth Proportional to 292.55, 402.05 and 284.36

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Solution

The fourth proportional to 292.55, 402.05 and 284.36 is: 390.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.55 : 402.05 = 284.36 : x
  2. Step 2: Convert to fraction form
    292.55/402.05 = 284.36/x
  3. Step 3: Cross multiply
    292.55x = 402.05 × 284.36
  4. Step 4: Simplify right side
    292.55x = 114,323.51
  5. Step 5: Solve for x
    x = 114,323.51/292.55
  6. Step 6: Final answer
    x = 390.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.