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Finding the Fourth Proportional to 307.63, 459.19 and 271.59

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Solution

The fourth proportional to 307.63, 459.19 and 271.59 is: 405.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.63 : 459.19 = 271.59 : x
  2. Step 2: Convert to fraction form
    307.63/459.19 = 271.59/x
  3. Step 3: Cross multiply
    307.63x = 459.19 × 271.59
  4. Step 4: Simplify right side
    307.63x = 124,707.76
  5. Step 5: Solve for x
    x = 124,707.76/307.63
  6. Step 6: Final answer
    x = 405.38

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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.