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Finding the Fourth Proportional to 289.64, 432 and 280.98

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Solution

The fourth proportional to 289.64, 432 and 280.98 is: 419.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.64 : 432 = 280.98 : x
  2. Step 2: Convert to fraction form
    289.64/432 = 280.98/x
  3. Step 3: Cross multiply
    289.64x = 432 × 280.98
  4. Step 4: Simplify right side
    289.64x = 121,383.36
  5. Step 5: Solve for x
    x = 121,383.36/289.64
  6. Step 6: Final answer
    x = 419.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.