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Finding the Fourth Proportional to 369.64, 554.64 and 215.20

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Solution

The fourth proportional to 369.64, 554.64 and 215.20 is: 322.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.64 : 554.64 = 215.20 : x
  2. Step 2: Convert to fraction form
    369.64/554.64 = 215.20/x
  3. Step 3: Cross multiply
    369.64x = 554.64 × 215.20
  4. Step 4: Simplify right side
    369.64x = 119,358.53
  5. Step 5: Solve for x
    x = 119,358.53/369.64
  6. Step 6: Final answer
    x = 322.90

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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.