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Finding the Fourth Proportional to 292.32, 400.51 and 288.48

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Solution

The fourth proportional to 292.32, 400.51 and 288.48 is: 395.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.32 : 400.51 = 288.48 : x
  2. Step 2: Convert to fraction form
    292.32/400.51 = 288.48/x
  3. Step 3: Cross multiply
    292.32x = 400.51 × 288.48
  4. Step 4: Simplify right side
    292.32x = 115,539.12
  5. Step 5: Solve for x
    x = 115,539.12/292.32
  6. Step 6: Final answer
    x = 395.25

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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.