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Finding the Fourth Proportional to 302.85, 417.71 and 190.77

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Solution

The fourth proportional to 302.85, 417.71 and 190.77 is: 263.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.85 : 417.71 = 190.77 : x
  2. Step 2: Convert to fraction form
    302.85/417.71 = 190.77/x
  3. Step 3: Cross multiply
    302.85x = 417.71 × 190.77
  4. Step 4: Simplify right side
    302.85x = 79,685.58
  5. Step 5: Solve for x
    x = 79,685.58/302.85
  6. Step 6: Final answer
    x = 263.12

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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.