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Finding the Fourth Proportional to 343.42, 473.30 and 260.32

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Solution

The fourth proportional to 343.42, 473.30 and 260.32 is: 358.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.42 : 473.30 = 260.32 : x
  2. Step 2: Convert to fraction form
    343.42/473.30 = 260.32/x
  3. Step 3: Cross multiply
    343.42x = 473.30 × 260.32
  4. Step 4: Simplify right side
    343.42x = 123,209.46
  5. Step 5: Solve for x
    x = 123,209.46/343.42
  6. Step 6: Final answer
    x = 358.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.