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Finding the Fourth Proportional to 289.77, 432.41 and 259

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Solution

The fourth proportional to 289.77, 432.41 and 259 is: 386.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.77 : 432.41 = 259 : x
  2. Step 2: Convert to fraction form
    289.77/432.41 = 259/x
  3. Step 3: Cross multiply
    289.77x = 432.41 × 259
  4. Step 4: Simplify right side
    289.77x = 111,994.19
  5. Step 5: Solve for x
    x = 111,994.19/289.77
  6. Step 6: Final answer
    x = 386.49

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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.