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Finding the Fourth Proportional to 340.21, 469.61 and 257.32

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Solution

The fourth proportional to 340.21, 469.61 and 257.32 is: 355.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.21 : 469.61 = 257.32 : x
  2. Step 2: Convert to fraction form
    340.21/469.61 = 257.32/x
  3. Step 3: Cross multiply
    340.21x = 469.61 × 257.32
  4. Step 4: Simplify right side
    340.21x = 120,840.05
  5. Step 5: Solve for x
    x = 120,840.05/340.21
  6. Step 6: Final answer
    x = 355.19

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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.