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Finding the Fourth Proportional to 304.98, 420.59 and 258.45

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Solution

The fourth proportional to 304.98, 420.59 and 258.45 is: 356.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.98 : 420.59 = 258.45 : x
  2. Step 2: Convert to fraction form
    304.98/420.59 = 258.45/x
  3. Step 3: Cross multiply
    304.98x = 420.59 × 258.45
  4. Step 4: Simplify right side
    304.98x = 108,700.19
  5. Step 5: Solve for x
    x = 108,700.19/304.98
  6. Step 6: Final answer
    x = 356.42

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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.