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Finding the Fourth Proportional to 314.35, 468.30 and 302.74

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Solution

The fourth proportional to 314.35, 468.30 and 302.74 is: 451.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.35 : 468.30 = 302.74 : x
  2. Step 2: Convert to fraction form
    314.35/468.30 = 302.74/x
  3. Step 3: Cross multiply
    314.35x = 468.30 × 302.74
  4. Step 4: Simplify right side
    314.35x = 141,773.14
  5. Step 5: Solve for x
    x = 141,773.14/314.35
  6. Step 6: Final answer
    x = 451.00

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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.