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Finding the Fourth Proportional to 315.34, 470.63 and 307.15

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Solution

The fourth proportional to 315.34, 470.63 and 307.15 is: 458.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.34 : 470.63 = 307.15 : x
  2. Step 2: Convert to fraction form
    315.34/470.63 = 307.15/x
  3. Step 3: Cross multiply
    315.34x = 470.63 × 307.15
  4. Step 4: Simplify right side
    315.34x = 144,554.00
  5. Step 5: Solve for x
    x = 144,554.00/315.34
  6. Step 6: Final answer
    x = 458.41

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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.