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Finding the Fourth Proportional to 424.37, 585.46 and 258.53

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Solution

The fourth proportional to 424.37, 585.46 and 258.53 is: 356.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.37 : 585.46 = 258.53 : x
  2. Step 2: Convert to fraction form
    424.37/585.46 = 258.53/x
  3. Step 3: Cross multiply
    424.37x = 585.46 × 258.53
  4. Step 4: Simplify right side
    424.37x = 151,355.82
  5. Step 5: Solve for x
    x = 151,355.82/424.37
  6. Step 6: Final answer
    x = 356.66

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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.