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Finding the Fourth Proportional to 302.54, 416.45 and 263.66

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Solution

The fourth proportional to 302.54, 416.45 and 263.66 is: 362.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.54 : 416.45 = 263.66 : x
  2. Step 2: Convert to fraction form
    302.54/416.45 = 263.66/x
  3. Step 3: Cross multiply
    302.54x = 416.45 × 263.66
  4. Step 4: Simplify right side
    302.54x = 109,797.81
  5. Step 5: Solve for x
    x = 109,797.81/302.54
  6. Step 6: Final answer
    x = 362.93

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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.