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Finding the Fourth Proportional to 341.35, 469.88 and 297.61

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Solution

The fourth proportional to 341.35, 469.88 and 297.61 is: 409.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.35 : 469.88 = 297.61 : x
  2. Step 2: Convert to fraction form
    341.35/469.88 = 297.61/x
  3. Step 3: Cross multiply
    341.35x = 469.88 × 297.61
  4. Step 4: Simplify right side
    341.35x = 139,840.99
  5. Step 5: Solve for x
    x = 139,840.99/341.35
  6. Step 6: Final answer
    x = 409.67

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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.