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Finding the Fourth Proportional to 303.60, 453.48 and 258.06

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Solution

The fourth proportional to 303.60, 453.48 and 258.06 is: 385.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.60 : 453.48 = 258.06 : x
  2. Step 2: Convert to fraction form
    303.60/453.48 = 258.06/x
  3. Step 3: Cross multiply
    303.60x = 453.48 × 258.06
  4. Step 4: Simplify right side
    303.60x = 117,025.05
  5. Step 5: Solve for x
    x = 117,025.05/303.60
  6. Step 6: Final answer
    x = 385.46

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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.