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Finding the Fourth Proportional to 307.84, 459.59 and 264.52

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Solution

The fourth proportional to 307.84, 459.59 and 264.52 is: 394.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.84 : 459.59 = 264.52 : x
  2. Step 2: Convert to fraction form
    307.84/459.59 = 264.52/x
  3. Step 3: Cross multiply
    307.84x = 459.59 × 264.52
  4. Step 4: Simplify right side
    307.84x = 121,570.75
  5. Step 5: Solve for x
    x = 121,570.75/307.84
  6. Step 6: Final answer
    x = 394.92

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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.