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Finding the Fourth Proportional to 343.13, 511.56 and 322.47

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Solution

The fourth proportional to 343.13, 511.56 and 322.47 is: 480.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.13 : 511.56 = 322.47 : x
  2. Step 2: Convert to fraction form
    343.13/511.56 = 322.47/x
  3. Step 3: Cross multiply
    343.13x = 511.56 × 322.47
  4. Step 4: Simplify right side
    343.13x = 164,962.75
  5. Step 5: Solve for x
    x = 164,962.75/343.13
  6. Step 6: Final answer
    x = 480.77

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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.