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Finding the Fourth Proportional to 375.64, 562.60 and 364.72

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Solution

The fourth proportional to 375.64, 562.60 and 364.72 is: 546.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.64 : 562.60 = 364.72 : x
  2. Step 2: Convert to fraction form
    375.64/562.60 = 364.72/x
  3. Step 3: Cross multiply
    375.64x = 562.60 × 364.72
  4. Step 4: Simplify right side
    375.64x = 205,191.47
  5. Step 5: Solve for x
    x = 205,191.47/375.64
  6. Step 6: Final answer
    x = 546.25

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