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Finding the Fourth Proportional to 302.70, 455.66 and 216.64

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Solution

The fourth proportional to 302.70, 455.66 and 216.64 is: 326.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.70 : 455.66 = 216.64 : x
  2. Step 2: Convert to fraction form
    302.70/455.66 = 216.64/x
  3. Step 3: Cross multiply
    302.70x = 455.66 × 216.64
  4. Step 4: Simplify right side
    302.70x = 98,715.70
  5. Step 5: Solve for x
    x = 98,715.70/302.70
  6. Step 6: Final answer
    x = 326.11

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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.