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Finding the Fourth Proportional to 456.02, 681.69 and 340.39

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Solution

The fourth proportional to 456.02, 681.69 and 340.39 is: 508.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.02 : 681.69 = 340.39 : x
  2. Step 2: Convert to fraction form
    456.02/681.69 = 340.39/x
  3. Step 3: Cross multiply
    456.02x = 681.69 × 340.39
  4. Step 4: Simplify right side
    456.02x = 232,040.46
  5. Step 5: Solve for x
    x = 232,040.46/456.02
  6. Step 6: Final answer
    x = 508.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.