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Finding the Fourth Proportional to 306.02, 459.10 and 89.59

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Solution

The fourth proportional to 306.02, 459.10 and 89.59 is: 134.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.02 : 459.10 = 89.59 : x
  2. Step 2: Convert to fraction form
    306.02/459.10 = 89.59/x
  3. Step 3: Cross multiply
    306.02x = 459.10 × 89.59
  4. Step 4: Simplify right side
    306.02x = 41,130.77
  5. Step 5: Solve for x
    x = 41,130.77/306.02
  6. Step 6: Final answer
    x = 134.41

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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.