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Finding the Fourth Proportional to 314.58, 468.87 and 312.03

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Solution

The fourth proportional to 314.58, 468.87 and 312.03 is: 465.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.58 : 468.87 = 312.03 : x
  2. Step 2: Convert to fraction form
    314.58/468.87 = 312.03/x
  3. Step 3: Cross multiply
    314.58x = 468.87 × 312.03
  4. Step 4: Simplify right side
    314.58x = 146,301.51
  5. Step 5: Solve for x
    x = 146,301.51/314.58
  6. Step 6: Final answer
    x = 465.07

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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.