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Finding the Fourth Proportional to 340.72, 509.86 and 267.82

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Solution

The fourth proportional to 340.72, 509.86 and 267.82 is: 400.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.72 : 509.86 = 267.82 : x
  2. Step 2: Convert to fraction form
    340.72/509.86 = 267.82/x
  3. Step 3: Cross multiply
    340.72x = 509.86 × 267.82
  4. Step 4: Simplify right side
    340.72x = 136,550.71
  5. Step 5: Solve for x
    x = 136,550.71/340.72
  6. Step 6: Final answer
    x = 400.77

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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.