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Finding the Fourth Proportional to 304.51, 454.56 and 258.37

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Solution

The fourth proportional to 304.51, 454.56 and 258.37 is: 385.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.51 : 454.56 = 258.37 : x
  2. Step 2: Convert to fraction form
    304.51/454.56 = 258.37/x
  3. Step 3: Cross multiply
    304.51x = 454.56 × 258.37
  4. Step 4: Simplify right side
    304.51x = 117,444.67
  5. Step 5: Solve for x
    x = 117,444.67/304.51
  6. Step 6: Final answer
    x = 385.68

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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.