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Finding the Fourth Proportional to 338.61, 507.59 and 174.08

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Solution

The fourth proportional to 338.61, 507.59 and 174.08 is: 260.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.61 : 507.59 = 174.08 : x
  2. Step 2: Convert to fraction form
    338.61/507.59 = 174.08/x
  3. Step 3: Cross multiply
    338.61x = 507.59 × 174.08
  4. Step 4: Simplify right side
    338.61x = 88,361.27
  5. Step 5: Solve for x
    x = 88,361.27/338.61
  6. Step 6: Final answer
    x = 260.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.