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Finding the Fourth Proportional to 382.90, 577.16 and 373.67

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Solution

The fourth proportional to 382.90, 577.16 and 373.67 is: 563.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.90 : 577.16 = 373.67 : x
  2. Step 2: Convert to fraction form
    382.90/577.16 = 373.67/x
  3. Step 3: Cross multiply
    382.90x = 577.16 × 373.67
  4. Step 4: Simplify right side
    382.90x = 215,668.17
  5. Step 5: Solve for x
    x = 215,668.17/382.90
  6. Step 6: Final answer
    x = 563.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.