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Finding the Fourth Proportional to 302.21, 417.14 and 214.91

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Solution

The fourth proportional to 302.21, 417.14 and 214.91 is: 296.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.21 : 417.14 = 214.91 : x
  2. Step 2: Convert to fraction form
    302.21/417.14 = 214.91/x
  3. Step 3: Cross multiply
    302.21x = 417.14 × 214.91
  4. Step 4: Simplify right side
    302.21x = 89,646.48
  5. Step 5: Solve for x
    x = 89,646.48/302.21
  6. Step 6: Final answer
    x = 296.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.