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Finding the Fourth Proportional to 334.13, 498.15 and 313.47

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Solution

The fourth proportional to 334.13, 498.15 and 313.47 is: 467.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.13 : 498.15 = 313.47 : x
  2. Step 2: Convert to fraction form
    334.13/498.15 = 313.47/x
  3. Step 3: Cross multiply
    334.13x = 498.15 × 313.47
  4. Step 4: Simplify right side
    334.13x = 156,155.08
  5. Step 5: Solve for x
    x = 156,155.08/334.13
  6. Step 6: Final answer
    x = 467.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.