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Finding the Fourth Proportional to 334.74, 499.86 and 265.50

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Solution

The fourth proportional to 334.74, 499.86 and 265.50 is: 396.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.74 : 499.86 = 265.50 : x
  2. Step 2: Convert to fraction form
    334.74/499.86 = 265.50/x
  3. Step 3: Cross multiply
    334.74x = 499.86 × 265.50
  4. Step 4: Simplify right side
    334.74x = 132,712.83
  5. Step 5: Solve for x
    x = 132,712.83/334.74
  6. Step 6: Final answer
    x = 396.47

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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.