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Finding the Fourth Proportional to 307.33, 459.77 and 256.07

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Solution

The fourth proportional to 307.33, 459.77 and 256.07 is: 383.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.33 : 459.77 = 256.07 : x
  2. Step 2: Convert to fraction form
    307.33/459.77 = 256.07/x
  3. Step 3: Cross multiply
    307.33x = 459.77 × 256.07
  4. Step 4: Simplify right side
    307.33x = 117,733.17
  5. Step 5: Solve for x
    x = 117,733.17/307.33
  6. Step 6: Final answer
    x = 383.09

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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.