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Finding the Fourth Proportional to 306.51, 459.87 and 101.10

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Solution

The fourth proportional to 306.51, 459.87 and 101.10 is: 151.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.51 : 459.87 = 101.10 : x
  2. Step 2: Convert to fraction form
    306.51/459.87 = 101.10/x
  3. Step 3: Cross multiply
    306.51x = 459.87 × 101.10
  4. Step 4: Simplify right side
    306.51x = 46,492.86
  5. Step 5: Solve for x
    x = 46,492.86/306.51
  6. Step 6: Final answer
    x = 151.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.