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Finding the Fourth Proportional to 365.92, 545.68 and 357.68

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Solution

The fourth proportional to 365.92, 545.68 and 357.68 is: 533.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.92 : 545.68 = 357.68 : x
  2. Step 2: Convert to fraction form
    365.92/545.68 = 357.68/x
  3. Step 3: Cross multiply
    365.92x = 545.68 × 357.68
  4. Step 4: Simplify right side
    365.92x = 195,178.82
  5. Step 5: Solve for x
    x = 195,178.82/365.92
  6. Step 6: Final answer
    x = 533.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.