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Finding the Fourth Proportional to 364.21, 545.76 and 242.03

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Solution

The fourth proportional to 364.21, 545.76 and 242.03 is: 362.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.21 : 545.76 = 242.03 : x
  2. Step 2: Convert to fraction form
    364.21/545.76 = 242.03/x
  3. Step 3: Cross multiply
    364.21x = 545.76 × 242.03
  4. Step 4: Simplify right side
    364.21x = 132,091.66
  5. Step 5: Solve for x
    x = 132,091.66/364.21
  6. Step 6: Final answer
    x = 362.68

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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.