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Finding the Fourth Proportional to 302.64, 417.72 and 207.06

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Solution

The fourth proportional to 302.64, 417.72 and 207.06 is: 285.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.64 : 417.72 = 207.06 : x
  2. Step 2: Convert to fraction form
    302.64/417.72 = 207.06/x
  3. Step 3: Cross multiply
    302.64x = 417.72 × 207.06
  4. Step 4: Simplify right side
    302.64x = 86,493.10
  5. Step 5: Solve for x
    x = 86,493.10/302.64
  6. Step 6: Final answer
    x = 285.80

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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.