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Finding the Fourth Proportional to 346.41, 477.66 and 318.66

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Solution

The fourth proportional to 346.41, 477.66 and 318.66 is: 439.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.41 : 477.66 = 318.66 : x
  2. Step 2: Convert to fraction form
    346.41/477.66 = 318.66/x
  3. Step 3: Cross multiply
    346.41x = 477.66 × 318.66
  4. Step 4: Simplify right side
    346.41x = 152,211.14
  5. Step 5: Solve for x
    x = 152,211.14/346.41
  6. Step 6: Final answer
    x = 439.40

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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.