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Finding the Fourth Proportional to 424.51, 585.82 and 238.00

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Solution

The fourth proportional to 424.51, 585.82 and 238.00 is: 328.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.51 : 585.82 = 238.00 : x
  2. Step 2: Convert to fraction form
    424.51/585.82 = 238.00/x
  3. Step 3: Cross multiply
    424.51x = 585.82 × 238.00
  4. Step 4: Simplify right side
    424.51x = 139,423.10
  5. Step 5: Solve for x
    x = 139,423.10/424.51
  6. Step 6: Final answer
    x = 328.43

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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.