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Finding the Fourth Proportional to 340.81, 469.87 and 235.72

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Solution

The fourth proportional to 340.81, 469.87 and 235.72 is: 324.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.81 : 469.87 = 235.72 : x
  2. Step 2: Convert to fraction form
    340.81/469.87 = 235.72/x
  3. Step 3: Cross multiply
    340.81x = 469.87 × 235.72
  4. Step 4: Simplify right side
    340.81x = 110,757.76
  5. Step 5: Solve for x
    x = 110,757.76/340.81
  6. Step 6: Final answer
    x = 324.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.