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Finding the Fourth Proportional to 302.58, 450.66 and 289.25

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Solution

The fourth proportional to 302.58, 450.66 and 289.25 is: 430.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.58 : 450.66 = 289.25 : x
  2. Step 2: Convert to fraction form
    302.58/450.66 = 289.25/x
  3. Step 3: Cross multiply
    302.58x = 450.66 × 289.25
  4. Step 4: Simplify right side
    302.58x = 130,353.41
  5. Step 5: Solve for x
    x = 130,353.41/302.58
  6. Step 6: Final answer
    x = 430.81

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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.