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Finding the Fourth Proportional to 312.84, 466.74 and 302.40

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Solution

The fourth proportional to 312.84, 466.74 and 302.40 is: 451.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.84 : 466.74 = 302.40 : x
  2. Step 2: Convert to fraction form
    312.84/466.74 = 302.40/x
  3. Step 3: Cross multiply
    312.84x = 466.74 × 302.40
  4. Step 4: Simplify right side
    312.84x = 141,142.18
  5. Step 5: Solve for x
    x = 141,142.18/312.84
  6. Step 6: Final answer
    x = 451.16

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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.