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Finding the Fourth Proportional to 340.61, 513.20 and 281.07

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Solution

The fourth proportional to 340.61, 513.20 and 281.07 is: 423.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.61 : 513.20 = 281.07 : x
  2. Step 2: Convert to fraction form
    340.61/513.20 = 281.07/x
  3. Step 3: Cross multiply
    340.61x = 513.20 × 281.07
  4. Step 4: Simplify right side
    340.61x = 144,245.83
  5. Step 5: Solve for x
    x = 144,245.83/340.61
  6. Step 6: Final answer
    x = 423.50

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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.