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Finding the Fourth Proportional to 304.74, 420.84 and 256.01

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Solution

The fourth proportional to 304.74, 420.84 and 256.01 is: 353.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.74 : 420.84 = 256.01 : x
  2. Step 2: Convert to fraction form
    304.74/420.84 = 256.01/x
  3. Step 3: Cross multiply
    304.74x = 420.84 × 256.01
  4. Step 4: Simplify right side
    304.74x = 107,737.14
  5. Step 5: Solve for x
    x = 107,737.14/304.74
  6. Step 6: Final answer
    x = 353.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.