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Finding the Fourth Proportional to 343.77, 512.88 and 341.34

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Solution

The fourth proportional to 343.77, 512.88 and 341.34 is: 509.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.77 : 512.88 = 341.34 : x
  2. Step 2: Convert to fraction form
    343.77/512.88 = 341.34/x
  3. Step 3: Cross multiply
    343.77x = 512.88 × 341.34
  4. Step 4: Simplify right side
    343.77x = 175,066.46
  5. Step 5: Solve for x
    x = 175,066.46/343.77
  6. Step 6: Final answer
    x = 509.25

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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.