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Finding the Fourth Proportional to 315.84, 438.08 and 302.40

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Solution

The fourth proportional to 315.84, 438.08 and 302.40 is: 419.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.84 : 438.08 = 302.40 : x
  2. Step 2: Convert to fraction form
    315.84/438.08 = 302.40/x
  3. Step 3: Cross multiply
    315.84x = 438.08 × 302.40
  4. Step 4: Simplify right side
    315.84x = 132,475.39
  5. Step 5: Solve for x
    x = 132,475.39/315.84
  6. Step 6: Final answer
    x = 419.44

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.