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Finding the Fourth Proportional to 264.87, 397.47 and 143.22

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Solution

The fourth proportional to 264.87, 397.47 and 143.22 is: 214.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.87 : 397.47 = 143.22 : x
  2. Step 2: Convert to fraction form
    264.87/397.47 = 143.22/x
  3. Step 3: Cross multiply
    264.87x = 397.47 × 143.22
  4. Step 4: Simplify right side
    264.87x = 56,925.65
  5. Step 5: Solve for x
    x = 56,925.65/264.87
  6. Step 6: Final answer
    x = 214.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.