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Finding the Fourth Proportional to 434.34, 599.45 and 285.05

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Solution

The fourth proportional to 434.34, 599.45 and 285.05 is: 393.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.34 : 599.45 = 285.05 : x
  2. Step 2: Convert to fraction form
    434.34/599.45 = 285.05/x
  3. Step 3: Cross multiply
    434.34x = 599.45 × 285.05
  4. Step 4: Simplify right side
    434.34x = 170,873.30
  5. Step 5: Solve for x
    x = 170,873.30/434.34
  6. Step 6: Final answer
    x = 393.41

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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.