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Finding the Fourth Proportional to 375.50, 561.08 and 287.16

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Solution

The fourth proportional to 375.50, 561.08 and 287.16 is: 429.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.50 : 561.08 = 287.16 : x
  2. Step 2: Convert to fraction form
    375.50/561.08 = 287.16/x
  3. Step 3: Cross multiply
    375.50x = 561.08 × 287.16
  4. Step 4: Simplify right side
    375.50x = 161,118.30
  5. Step 5: Solve for x
    x = 161,118.30/375.50
  6. Step 6: Final answer
    x = 429.08

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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.