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Finding the Fourth Proportional to 302.07, 452.74 and 109.47

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Solution

The fourth proportional to 302.07, 452.74 and 109.47 is: 164.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.07 : 452.74 = 109.47 : x
  2. Step 2: Convert to fraction form
    302.07/452.74 = 109.47/x
  3. Step 3: Cross multiply
    302.07x = 452.74 × 109.47
  4. Step 4: Simplify right side
    302.07x = 49,561.45
  5. Step 5: Solve for x
    x = 49,561.45/302.07
  6. Step 6: Final answer
    x = 164.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.