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Finding the Fourth Proportional to 289.77, 434.13 and 238.32

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Solution

The fourth proportional to 289.77, 434.13 and 238.32 is: 357.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.77 : 434.13 = 238.32 : x
  2. Step 2: Convert to fraction form
    289.77/434.13 = 238.32/x
  3. Step 3: Cross multiply
    289.77x = 434.13 × 238.32
  4. Step 4: Simplify right side
    289.77x = 103,461.86
  5. Step 5: Solve for x
    x = 103,461.86/289.77
  6. Step 6: Final answer
    x = 357.05

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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.