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Finding the Fourth Proportional to 343.32, 511.59 and 321.72

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Solution

The fourth proportional to 343.32, 511.59 and 321.72 is: 479.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.32 : 511.59 = 321.72 : x
  2. Step 2: Convert to fraction form
    343.32/511.59 = 321.72/x
  3. Step 3: Cross multiply
    343.32x = 511.59 × 321.72
  4. Step 4: Simplify right side
    343.32x = 164,588.73
  5. Step 5: Solve for x
    x = 164,588.73/343.32
  6. Step 6: Final answer
    x = 479.40

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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.