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Finding the Fourth Proportional to 357.16, 491.34 and 297.76

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Solution

The fourth proportional to 357.16, 491.34 and 297.76 is: 409.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.16 : 491.34 = 297.76 : x
  2. Step 2: Convert to fraction form
    357.16/491.34 = 297.76/x
  3. Step 3: Cross multiply
    357.16x = 491.34 × 297.76
  4. Step 4: Simplify right side
    357.16x = 146,301.40
  5. Step 5: Solve for x
    x = 146,301.40/357.16
  6. Step 6: Final answer
    x = 409.62

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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.