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Finding the Fourth Proportional to 368.40, 549.43 and 313.91

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Solution

The fourth proportional to 368.40, 549.43 and 313.91 is: 468.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.40 : 549.43 = 313.91 : x
  2. Step 2: Convert to fraction form
    368.40/549.43 = 313.91/x
  3. Step 3: Cross multiply
    368.40x = 549.43 × 313.91
  4. Step 4: Simplify right side
    368.40x = 172,471.57
  5. Step 5: Solve for x
    x = 172,471.57/368.40
  6. Step 6: Final answer
    x = 468.16

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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.