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Finding the Fourth Proportional to 303.86, 453.88 and 288.02

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Solution

The fourth proportional to 303.86, 453.88 and 288.02 is: 430.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.86 : 453.88 = 288.02 : x
  2. Step 2: Convert to fraction form
    303.86/453.88 = 288.02/x
  3. Step 3: Cross multiply
    303.86x = 453.88 × 288.02
  4. Step 4: Simplify right side
    303.86x = 130,726.52
  5. Step 5: Solve for x
    x = 130,726.52/303.86
  6. Step 6: Final answer
    x = 430.22

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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.