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Finding the Fourth Proportional to 320.51, 483.26 and 317.07

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Solution

The fourth proportional to 320.51, 483.26 and 317.07 is: 478.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.51 : 483.26 = 317.07 : x
  2. Step 2: Convert to fraction form
    320.51/483.26 = 317.07/x
  3. Step 3: Cross multiply
    320.51x = 483.26 × 317.07
  4. Step 4: Simplify right side
    320.51x = 153,225.66
  5. Step 5: Solve for x
    x = 153,225.66/320.51
  6. Step 6: Final answer
    x = 478.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.