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Finding the Fourth Proportional to 365.60, 546.28 and 308

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Solution

The fourth proportional to 365.60, 546.28 and 308 is: 460.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.60 : 546.28 = 308 : x
  2. Step 2: Convert to fraction form
    365.60/546.28 = 308/x
  3. Step 3: Cross multiply
    365.60x = 546.28 × 308
  4. Step 4: Simplify right side
    365.60x = 168,254.24
  5. Step 5: Solve for x
    x = 168,254.24/365.60
  6. Step 6: Final answer
    x = 460.21

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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.