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Finding the Fourth Proportional to 434.86, 599.90 and 260.14

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Solution

The fourth proportional to 434.86, 599.90 and 260.14 is: 358.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.86 : 599.90 = 260.14 : x
  2. Step 2: Convert to fraction form
    434.86/599.90 = 260.14/x
  3. Step 3: Cross multiply
    434.86x = 599.90 × 260.14
  4. Step 4: Simplify right side
    434.86x = 156,057.99
  5. Step 5: Solve for x
    x = 156,057.99/434.86
  6. Step 6: Final answer
    x = 358.87

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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.