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Finding the Fourth Proportional to 365.76, 544.32 and 353.76

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Solution

The fourth proportional to 365.76, 544.32 and 353.76 is: 526.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.76 : 544.32 = 353.76 : x
  2. Step 2: Convert to fraction form
    365.76/544.32 = 353.76/x
  3. Step 3: Cross multiply
    365.76x = 544.32 × 353.76
  4. Step 4: Simplify right side
    365.76x = 192,558.64
  5. Step 5: Solve for x
    x = 192,558.64/365.76
  6. Step 6: Final answer
    x = 526.46

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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.