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Finding the Fourth Proportional to 333.95, 457.90 and 302.76

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Solution

The fourth proportional to 333.95, 457.90 and 302.76 is: 415.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.95 : 457.90 = 302.76 : x
  2. Step 2: Convert to fraction form
    333.95/457.90 = 302.76/x
  3. Step 3: Cross multiply
    333.95x = 457.90 × 302.76
  4. Step 4: Simplify right side
    333.95x = 138,633.05
  5. Step 5: Solve for x
    x = 138,633.05/333.95
  6. Step 6: Final answer
    x = 415.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.