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Finding the Fourth Proportional to 292.51, 440.72 and 264.75

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Solution

The fourth proportional to 292.51, 440.72 and 264.75 is: 398.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.51 : 440.72 = 264.75 : x
  2. Step 2: Convert to fraction form
    292.51/440.72 = 264.75/x
  3. Step 3: Cross multiply
    292.51x = 440.72 × 264.75
  4. Step 4: Simplify right side
    292.51x = 116,680.62
  5. Step 5: Solve for x
    x = 116,680.62/292.51
  6. Step 6: Final answer
    x = 398.89

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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.