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Finding the Fourth Proportional to 375.37, 562.65 and 253.60

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Solution

The fourth proportional to 375.37, 562.65 and 253.60 is: 380.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.37 : 562.65 = 253.60 : x
  2. Step 2: Convert to fraction form
    375.37/562.65 = 253.60/x
  3. Step 3: Cross multiply
    375.37x = 562.65 × 253.60
  4. Step 4: Simplify right side
    375.37x = 142,688.04
  5. Step 5: Solve for x
    x = 142,688.04/375.37
  6. Step 6: Final answer
    x = 380.13

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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.