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Finding the Fourth Proportional to 346.99, 478.57 and 248.71

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Solution

The fourth proportional to 346.99, 478.57 and 248.71 is: 343.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.99 : 478.57 = 248.71 : x
  2. Step 2: Convert to fraction form
    346.99/478.57 = 248.71/x
  3. Step 3: Cross multiply
    346.99x = 478.57 × 248.71
  4. Step 4: Simplify right side
    346.99x = 119,025.14
  5. Step 5: Solve for x
    x = 119,025.14/346.99
  6. Step 6: Final answer
    x = 343.02

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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.