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Finding the Fourth Proportional to 315.04, 469.16 and 306.88

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Solution

The fourth proportional to 315.04, 469.16 and 306.88 is: 457.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.04 : 469.16 = 306.88 : x
  2. Step 2: Convert to fraction form
    315.04/469.16 = 306.88/x
  3. Step 3: Cross multiply
    315.04x = 469.16 × 306.88
  4. Step 4: Simplify right side
    315.04x = 143,975.82
  5. Step 5: Solve for x
    x = 143,975.82/315.04
  6. Step 6: Final answer
    x = 457.01

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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.