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Finding the Fourth Proportional to 289.16, 436.02 and 283.68

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Solution

The fourth proportional to 289.16, 436.02 and 283.68 is: 427.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.16 : 436.02 = 283.68 : x
  2. Step 2: Convert to fraction form
    289.16/436.02 = 283.68/x
  3. Step 3: Cross multiply
    289.16x = 436.02 × 283.68
  4. Step 4: Simplify right side
    289.16x = 123,690.15
  5. Step 5: Solve for x
    x = 123,690.15/289.16
  6. Step 6: Final answer
    x = 427.76

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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.