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Finding the Fourth Proportional to 365.60, 545.72 and 341.28

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Solution

The fourth proportional to 365.60, 545.72 and 341.28 is: 509.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.60 : 545.72 = 341.28 : x
  2. Step 2: Convert to fraction form
    365.60/545.72 = 341.28/x
  3. Step 3: Cross multiply
    365.60x = 545.72 × 341.28
  4. Step 4: Simplify right side
    365.60x = 186,243.32
  5. Step 5: Solve for x
    x = 186,243.32/365.60
  6. Step 6: Final answer
    x = 509.42

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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.