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Finding the Fourth Proportional to 374.79, 563.09 and 365.67

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Solution

The fourth proportional to 374.79, 563.09 and 365.67 is: 549.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.79 : 563.09 = 365.67 : x
  2. Step 2: Convert to fraction form
    374.79/563.09 = 365.67/x
  3. Step 3: Cross multiply
    374.79x = 563.09 × 365.67
  4. Step 4: Simplify right side
    374.79x = 205,905.12
  5. Step 5: Solve for x
    x = 205,905.12/374.79
  6. Step 6: Final answer
    x = 549.39

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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.