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Finding the Fourth Proportional to 375.48, 561.60 and 307.44

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Solution

The fourth proportional to 375.48, 561.60 and 307.44 is: 459.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.48 : 561.60 = 307.44 : x
  2. Step 2: Convert to fraction form
    375.48/561.60 = 307.44/x
  3. Step 3: Cross multiply
    375.48x = 561.60 × 307.44
  4. Step 4: Simplify right side
    375.48x = 172,658.30
  5. Step 5: Solve for x
    x = 172,658.30/375.48
  6. Step 6: Final answer
    x = 459.83

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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.