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Finding the Fourth Proportional to 313.83, 432.48 and 297.87

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Solution

The fourth proportional to 313.83, 432.48 and 297.87 is: 410.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.83 : 432.48 = 297.87 : x
  2. Step 2: Convert to fraction form
    313.83/432.48 = 297.87/x
  3. Step 3: Cross multiply
    313.83x = 432.48 × 297.87
  4. Step 4: Simplify right side
    313.83x = 128,822.82
  5. Step 5: Solve for x
    x = 128,822.82/313.83
  6. Step 6: Final answer
    x = 410.49

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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.