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Finding the Fourth Proportional to 285.59, 428.11 and 260.23

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Solution

The fourth proportional to 285.59, 428.11 and 260.23 is: 390.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.59 : 428.11 = 260.23 : x
  2. Step 2: Convert to fraction form
    285.59/428.11 = 260.23/x
  3. Step 3: Cross multiply
    285.59x = 428.11 × 260.23
  4. Step 4: Simplify right side
    285.59x = 111,405.34
  5. Step 5: Solve for x
    x = 111,405.34/285.59
  6. Step 6: Final answer
    x = 390.10

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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.