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Finding the Fourth Proportional to 289.42, 435.70 and 264.31

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Solution

The fourth proportional to 289.42, 435.70 and 264.31 is: 397.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.42 : 435.70 = 264.31 : x
  2. Step 2: Convert to fraction form
    289.42/435.70 = 264.31/x
  3. Step 3: Cross multiply
    289.42x = 435.70 × 264.31
  4. Step 4: Simplify right side
    289.42x = 115,158.12
  5. Step 5: Solve for x
    x = 115,158.12/289.42
  6. Step 6: Final answer
    x = 397.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.