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Finding the Fourth Proportional to 303.86, 453.16 and 258.50

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Solution

The fourth proportional to 303.86, 453.16 and 258.50 is: 385.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.86 : 453.16 = 258.50 : x
  2. Step 2: Convert to fraction form
    303.86/453.16 = 258.50/x
  3. Step 3: Cross multiply
    303.86x = 453.16 × 258.50
  4. Step 4: Simplify right side
    303.86x = 117,141.86
  5. Step 5: Solve for x
    x = 117,141.86/303.86
  6. Step 6: Final answer
    x = 385.51

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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.