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Finding the Fourth Proportional to 343.14, 511.28 and 341.70

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Solution

The fourth proportional to 343.14, 511.28 and 341.70 is: 509.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.14 : 511.28 = 341.70 : x
  2. Step 2: Convert to fraction form
    343.14/511.28 = 341.70/x
  3. Step 3: Cross multiply
    343.14x = 511.28 × 341.70
  4. Step 4: Simplify right side
    343.14x = 174,702.67
  5. Step 5: Solve for x
    x = 174,702.67/343.14
  6. Step 6: Final answer
    x = 509.13

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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.