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Finding the Fourth Proportional to 289.64, 436.03 and 264.53

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Solution

The fourth proportional to 289.64, 436.03 and 264.53 is: 398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.64 : 436.03 = 264.53 : x
  2. Step 2: Convert to fraction form
    289.64/436.03 = 264.53/x
  3. Step 3: Cross multiply
    289.64x = 436.03 × 264.53
  4. Step 4: Simplify right side
    289.64x = 115,341.69
  5. Step 5: Solve for x
    x = 115,341.69/289.64
  6. Step 6: Final answer
    x = 398.22

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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.