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Finding the Fourth Proportional to 314.41, 469.06 and 297.40

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Solution

The fourth proportional to 314.41, 469.06 and 297.40 is: 443.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.41 : 469.06 = 297.40 : x
  2. Step 2: Convert to fraction form
    314.41/469.06 = 297.40/x
  3. Step 3: Cross multiply
    314.41x = 469.06 × 297.40
  4. Step 4: Simplify right side
    314.41x = 139,498.44
  5. Step 5: Solve for x
    x = 139,498.44/314.41
  6. Step 6: Final answer
    x = 443.68

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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.