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Finding the Fourth Proportional to 338.60, 505.72 and 290

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Solution

The fourth proportional to 338.60, 505.72 and 290 is: 433.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.60 : 505.72 = 290 : x
  2. Step 2: Convert to fraction form
    338.60/505.72 = 290/x
  3. Step 3: Cross multiply
    338.60x = 505.72 × 290
  4. Step 4: Simplify right side
    338.60x = 146,658.80
  5. Step 5: Solve for x
    x = 146,658.80/338.60
  6. Step 6: Final answer
    x = 433.13

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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.