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Finding the Fourth Proportional to 219.16, 328.64 and 65.08

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Solution

The fourth proportional to 219.16, 328.64 and 65.08 is: 97.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.16 : 328.64 = 65.08 : x
  2. Step 2: Convert to fraction form
    219.16/328.64 = 65.08/x
  3. Step 3: Cross multiply
    219.16x = 328.64 × 65.08
  4. Step 4: Simplify right side
    219.16x = 21,387.89
  5. Step 5: Solve for x
    x = 21,387.89/219.16
  6. Step 6: Final answer
    x = 97.59

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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.