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Finding the Fourth Proportional to 334.04, 498.65 and 319.07

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Solution

The fourth proportional to 334.04, 498.65 and 319.07 is: 476.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.04 : 498.65 = 319.07 : x
  2. Step 2: Convert to fraction form
    334.04/498.65 = 319.07/x
  3. Step 3: Cross multiply
    334.04x = 498.65 × 319.07
  4. Step 4: Simplify right side
    334.04x = 159,101.76
  5. Step 5: Solve for x
    x = 159,101.76/334.04
  6. Step 6: Final answer
    x = 476.30

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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.