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Finding the Fourth Proportional to 422.30, 632.55 and 368.30

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Solution

The fourth proportional to 422.30, 632.55 and 368.30 is: 551.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.30 : 632.55 = 368.30 : x
  2. Step 2: Convert to fraction form
    422.30/632.55 = 368.30/x
  3. Step 3: Cross multiply
    422.30x = 632.55 × 368.30
  4. Step 4: Simplify right side
    422.30x = 232,968.17
  5. Step 5: Solve for x
    x = 232,968.17/422.30
  6. Step 6: Final answer
    x = 551.67

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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.