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Finding the Fourth Proportional to 343.76, 474.38 and 188.50

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Solution

The fourth proportional to 343.76, 474.38 and 188.50 is: 260.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.76 : 474.38 = 188.50 : x
  2. Step 2: Convert to fraction form
    343.76/474.38 = 188.50/x
  3. Step 3: Cross multiply
    343.76x = 474.38 × 188.50
  4. Step 4: Simplify right side
    343.76x = 89,420.63
  5. Step 5: Solve for x
    x = 89,420.63/343.76
  6. Step 6: Final answer
    x = 260.13

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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.