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Finding the Fourth Proportional to 289.44, 432.07 and 263.93

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Solution

The fourth proportional to 289.44, 432.07 and 263.93 is: 393.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.44 : 432.07 = 263.93 : x
  2. Step 2: Convert to fraction form
    289.44/432.07 = 263.93/x
  3. Step 3: Cross multiply
    289.44x = 432.07 × 263.93
  4. Step 4: Simplify right side
    289.44x = 114,033.41
  5. Step 5: Solve for x
    x = 114,033.41/289.44
  6. Step 6: Final answer
    x = 393.98

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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.