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Finding the Fourth Proportional to 343.94, 474.65 and 188.69

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Solution

The fourth proportional to 343.94, 474.65 and 188.69 is: 260.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.94 : 474.65 = 188.69 : x
  2. Step 2: Convert to fraction form
    343.94/474.65 = 188.69/x
  3. Step 3: Cross multiply
    343.94x = 474.65 × 188.69
  4. Step 4: Simplify right side
    343.94x = 89,561.71
  5. Step 5: Solve for x
    x = 89,561.71/343.94
  6. Step 6: Final answer
    x = 260.40

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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.