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Finding the Fourth Proportional to 334.80, 498.69 and 319.01

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Solution

The fourth proportional to 334.80, 498.69 and 319.01 is: 475.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.80 : 498.69 = 319.01 : x
  2. Step 2: Convert to fraction form
    334.80/498.69 = 319.01/x
  3. Step 3: Cross multiply
    334.80x = 498.69 × 319.01
  4. Step 4: Simplify right side
    334.80x = 159,084.60
  5. Step 5: Solve for x
    x = 159,084.60/334.80
  6. Step 6: Final answer
    x = 475.16

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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.