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Finding the Fourth Proportional to 333.74, 460.35 and 260.03

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Solution

The fourth proportional to 333.74, 460.35 and 260.03 is: 358.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.74 : 460.35 = 260.03 : x
  2. Step 2: Convert to fraction form
    333.74/460.35 = 260.03/x
  3. Step 3: Cross multiply
    333.74x = 460.35 × 260.03
  4. Step 4: Simplify right side
    333.74x = 119,705.96
  5. Step 5: Solve for x
    x = 119,705.96/333.74
  6. Step 6: Final answer
    x = 358.68

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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.