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Finding the Fourth Proportional to 375.84, 561.96 and 289.08

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Solution

The fourth proportional to 375.84, 561.96 and 289.08 is: 432.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.84 : 561.96 = 289.08 : x
  2. Step 2: Convert to fraction form
    375.84/561.96 = 289.08/x
  3. Step 3: Cross multiply
    375.84x = 561.96 × 289.08
  4. Step 4: Simplify right side
    375.84x = 162,451.40
  5. Step 5: Solve for x
    x = 162,451.40/375.84
  6. Step 6: Final answer
    x = 432.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.