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Finding the Fourth Proportional to 434.86, 599.24 and 310.17

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Solution

The fourth proportional to 434.86, 599.24 and 310.17 is: 427.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.86 : 599.24 = 310.17 : x
  2. Step 2: Convert to fraction form
    434.86/599.24 = 310.17/x
  3. Step 3: Cross multiply
    434.86x = 599.24 × 310.17
  4. Step 4: Simplify right side
    434.86x = 185,866.27
  5. Step 5: Solve for x
    x = 185,866.27/434.86
  6. Step 6: Final answer
    x = 427.42

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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.