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Finding the Fourth Proportional to 306.01, 457.07 and 262.45

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Solution

The fourth proportional to 306.01, 457.07 and 262.45 is: 392.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.01 : 457.07 = 262.45 : x
  2. Step 2: Convert to fraction form
    306.01/457.07 = 262.45/x
  3. Step 3: Cross multiply
    306.01x = 457.07 × 262.45
  4. Step 4: Simplify right side
    306.01x = 119,958.02
  5. Step 5: Solve for x
    x = 119,958.02/306.01
  6. Step 6: Final answer
    x = 392.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.