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Finding the Fourth Proportional to 314.03, 467.53 and 312.51

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Solution

The fourth proportional to 314.03, 467.53 and 312.51 is: 465.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.03 : 467.53 = 312.51 : x
  2. Step 2: Convert to fraction form
    314.03/467.53 = 312.51/x
  3. Step 3: Cross multiply
    314.03x = 467.53 × 312.51
  4. Step 4: Simplify right side
    314.03x = 146,107.02
  5. Step 5: Solve for x
    x = 146,107.02/314.03
  6. Step 6: Final answer
    x = 465.26

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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.