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Finding the Fourth Proportional to 358.63, 493.72 and 314.95

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Solution

The fourth proportional to 358.63, 493.72 and 314.95 is: 433.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.63 : 493.72 = 314.95 : x
  2. Step 2: Convert to fraction form
    358.63/493.72 = 314.95/x
  3. Step 3: Cross multiply
    358.63x = 493.72 × 314.95
  4. Step 4: Simplify right side
    358.63x = 155,497.11
  5. Step 5: Solve for x
    x = 155,497.11/358.63
  6. Step 6: Final answer
    x = 433.59

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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.