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Finding the Fourth Proportional to 340.58, 508.38 and 311.72

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Solution

The fourth proportional to 340.58, 508.38 and 311.72 is: 465.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.58 : 508.38 = 311.72 : x
  2. Step 2: Convert to fraction form
    340.58/508.38 = 311.72/x
  3. Step 3: Cross multiply
    340.58x = 508.38 × 311.72
  4. Step 4: Simplify right side
    340.58x = 158,472.21
  5. Step 5: Solve for x
    x = 158,472.21/340.58
  6. Step 6: Final answer
    x = 465.30

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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.