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Finding the Fourth Proportional to 340.72, 508.56 and 316.64

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Solution

The fourth proportional to 340.72, 508.56 and 316.64 is: 472.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.72 : 508.56 = 316.64 : x
  2. Step 2: Convert to fraction form
    340.72/508.56 = 316.64/x
  3. Step 3: Cross multiply
    340.72x = 508.56 × 316.64
  4. Step 4: Simplify right side
    340.72x = 161,030.44
  5. Step 5: Solve for x
    x = 161,030.44/340.72
  6. Step 6: Final answer
    x = 472.62

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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.