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Finding the Fourth Proportional to 367.84, 506.76 and 302.72

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Solution

The fourth proportional to 367.84, 506.76 and 302.72 is: 417.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.84 : 506.76 = 302.72 : x
  2. Step 2: Convert to fraction form
    367.84/506.76 = 302.72/x
  3. Step 3: Cross multiply
    367.84x = 506.76 × 302.72
  4. Step 4: Simplify right side
    367.84x = 153,406.39
  5. Step 5: Solve for x
    x = 153,406.39/367.84
  6. Step 6: Final answer
    x = 417.05

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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.